Find the Slope of a Line Given by its Equations
This video has three objectives: 1 - How to write the equation of a line in slope intercept form and identify the slope 2 - How to identify the equation of a horizontal line and hence determine its slope which is equal to zero 2 - How to identify the equa
Find the x and y intercepts of Lines
This math video has three objectives: 1 - Find the x and y intercepts of lines of the form ax + by =c 2 - Find the y-intercept of a horizontal line 3 - Find the x-intercept of a vertical line More on the slope of lines at https://www.analyzemath.com/g
Find the Point of Intersection of Two Lines
In this math video, we present the solution to the problem to find the point of intersection of two lines given by their equations. The problem is reduced to finding the solution to the system of equations made up of the equations of the two lines. Mor
Find the x - coordinate of a Point on a Line Given by its Equation
In this math video, we explain how to find the x coordinate of a point whose y coordinate is equal to 3 and is on the line given by its equation 2x - 3 y = 4. More on equations of lines at https://www.analyzemath.com/line/equation-of-lines-questions-w
Solve Inequalities with Brackets and Fractions
This math video discusses how to solve inequalities involving brackets and also inequalities including fractions. The brackets are eliminated by expanding. Inequalities with fractions are multiplied by the LCM (lowest common multiple) of the denominator
Solve Equations with Square Root
This video explains the math behind simplifying square roots included in equations. Reviews of the properties of the square root are first discussed. Then three examples are solved. More at https://www.analyzemath.com/Equations/equations_square_root.html
Solve Quadratic Equations Using Factoring and the Quadratic Formulas
This video is about solving quadratic equations using the method of factoring and also the quadratic formulas. Three examples are presented: Example 1 - the equation (x-1)(x+8) = 0 is in a factored form already and therefore solved in a few steps. Exa
Solve Equations with Fractions
This video first explains the steps to solve an equation with brackets. Then equations with fractions are solved following the steps: 1 - find the lowest common multiple of the denominators 2 - multiply all terms of the equations by the lowest common m
Solve Linear inequalities
Several examples, including inequalities with fractional expressions, are solved and the solution set is written using inequality symbols, intervals, and graphically on the number line. Great care is taken when multiplying or dividing both sides of an in
Solve 2 by 2 System of Equations by Elimination
This video shows how to solve systems of equations using the method of elimination. The two basic operations that may be used to rewrite the system of equations into an equivalent one (i.e.with the same solutions) are 1 - multiply equations by a constant
Simplify Expressions with Radicals - Grade 9
Four objectives are covered in this video which is about simplifying expressions with radicals. 1 - Simplify expressions with unlike radicands 2 sqrt (8) - 4 sqrt (2) 2 - Simplify expressions with a composite radicand (2 +sqrt (12))/2 3 - Simplify exp
Expand and Simplify Polynomials - Grade 9
This video is about expanding and simplifying polynomials. Two examples are presented Example 1 : -(-2x - 2)(-x+3) - (3x^2 + x - 2 ) Example 2 3(-x - 5)^2 - 4x (- x - 7 ) The above examples are solved with all the details starting with a rev
Simplify Exponents - Grade 9
The objective of this video is to discuss the use of the rules of exponents to simplify expressions with exponential functions. Three examples are presented: Example 1 : (2x^2)^2(3x)^2 Example 2: (10 x^4)^0 (3 x^4)^3 Example 3: (-4 x^4 y^2)^2
Simplify Rational Expressions - Grade 9
The objective of this video is to present solutions with detailed explanations on how to factor and simplify rational expressions. Simplifying is made simple only after factoring and therefore examples of factoring are also included. Examples presented
Evaluate and Simplify Expressions for Given Values of the Variables - Grade 9
In this video, the author presents ways and ideas on how to evaluate expressions including square root, absolute value, and rational expressions for given values of the variables. Examples Presented a) Evaluate \sqrt (x + 6) for x = -2 b) Evaluate
Factor Algebraic Expressions - Grade 9
Three techniques of factoring are presented in this video and are listed with the examples used: 1 - Factoring by reverse distribution or common factor a) 4x - 16 b) 6 x^2 + 2 x Factoring using the difference of two squares c) x^2 - 9 d) 9x
Find Increase Given the Percentage Increase
In this video, the author explains how to calculate the absolute increase of a population given the percentage increase of that population. The formula used is: Percent change = (New Population - Old Population) / Old population More on percentage pro
Find Equation of a Line From its Graph
In this video, the slope of a line is found using the rise and run through the line, then the equation of the line is found using the slope and a point on the line. More Similar Problems at https://www.analyzemath.com/line/find-equation-of-line-from-grap
Solve Right Triangle
This video shows how to use trigonometric ratios and the Pythagorean theorem to solve three right triangle problems. In the first example, the hypotenuse and one angle are given. In the second example, the two sides that make the right angle are given and
Review the Graphs, Domains and Ranges of some of the Basic Functions in Math
This video is about the graphs, domains and ranges of some of the most basic functions, namely: y = x, y =absolute(x), y = x^2, y = square-root (x), y = 1/x and y = x^3.
Multiply Monomials
This video explains in detail the steps needed to multiply two or more monomials